Find the Exact Value of the Expression, If Possible $\cot \left( \sin ^ { - 1 } \frac { 9 \sqrt { 130 } } { 130 } \right)$

question 27

Multiple Choice

Find the exact value of the expression, if possible. Do not use a calculator.
- $\cot \left( \sin ^ { - 1 } \frac { 9 \sqrt { 130 } } { 130 } \right)$

• A) \(\frac { 7 } { 9 }\)
• B) \(\frac { \sqrt { 130 } } { 9 }\)
• C) \(\frac { 9 } { 130 }\)
• D) \(- \frac { 7 } { 9 }\)

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Definitions:

Secondary Circular Reactions

A stage in Piaget's theory of cognitive development where infants (aged about 4-8 months) repeat interesting or enjoyable actions centered on their own body.

Deferred Imitation

The ability to replicate an action or behavior after a delay, indicating memory and cognitive development.

Sensorimotor Conditioning

A learning process in young children that involves mastering the integration of sensory information with motor responses, fundamental to cognitive development.

Organized Patterns

Structured sequences or arrangements of ideas, actions, or events that follow a consistent and recognizable order.